Math Olympiad | √x+√y=10 & √xy=10 ; Find x & y=?? 🤔

Germany | A Nice Math Olympiad Problem | X=? & Y=?
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Maths Olympaid are held all around the world to recognise students who excel in maths.
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[@prefabrication]

Very nice.

[@arvindkulkarni6580]

Good one mam, its really nice

[@Maheshkumar-cw6un]

Its good explanation you made maam

[@harshpathak2359]

Nice explanation

[@satyadev3848]

great teaching skills

[@harikishan1900]

Very nice maam

[@aruntiwari5714]

Too good maam

[@manojchaugule794]

perfect💯

[@user-tc9cb8zh7b]

Perfect theorem mam

[@LaxmanKumar-yi4cv]

X and Y values are considered

[@ichdu6710]

Method 2:
This is a problem with 2 unknown variables in 2 equations.
dividing √(xy) = 10 by √x leads to √y = 10/√x
replacing √y in the first equation leads to √x + 10/√x = 10
√x + 10/√x = 10 can be solved in following way:
multiplying this with√x leads to x + 10 = 10√x. By squaring both sides you find
x² - 80x + 100 = 0 with the solutions 40 + - 10√15